Question

1) A car manufacturer knows that the service life (in months) of the emission sensors in...

1) A car manufacturer knows that the service life (in months) of the emission sensors in its cars is normally distributed with a mean of 72 and standard deviation of 9.

    1. (5 points) What is the probability that the sensors will fail within 5 years in a randomly selected car?
    1. (12 points) What should be the warranty period of these sensors so that 1% of them fail before the warranty is over.
    1. (3 points) Suppose 3 cars are picked at random. What is the probability that emission sensors in exactly one of the three cars will fail within 5 years? Hint: Use the success probability from part (a) and then use the binomial distribution.

need help with all of them please!

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1.)A manufacturer knows that their items have a normally distributed length, with a mean of 12.9...
1.)A manufacturer knows that their items have a normally distributed length, with a mean of 12.9 inches, and standard deviation of 1.1 inches. If one item is chosen at random, what is the probability that it is less than 14.9 inches long? 2.)A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5 years, and standard deviation of 1.1 years. If you randomly purchase one item, what is the probability it will last longer than...
A car has a transmission failure rate of 1 in 9 years a) If you buy...
A car has a transmission failure rate of 1 in 9 years a) If you buy one of these cars, what is the probability that the transmission will last more than 9 years? b) If you buy the 12-year extended warranty, what is the probability that you will have to use it to fix the transmission? c) How much should the warranty cover if the dealer wants to offer warranty service to no more than 2% of customers? d) If...
A manufacturer of laptop computers offers a one-year warranty. If the laptop computer fails for any...
A manufacturer of laptop computers offers a one-year warranty. If the laptop computer fails for any reason during this period, it is replaced. The length of satisfactory service (years) is a random variable having the probability density function f(x)=1/3.3 e^(-x⁄3.3) x>0 What percentage of the laptops will fail within the warranty period? Find the probability that one of these laptops will provide satisfactory service for 3 to 4 years. Find the probability that one of these laptops will provide satisfactory...
A car manufacturer has determined it takes an average time of 56 minutes to produce a...
A car manufacturer has determined it takes an average time of 56 minutes to produce a car. The population standard deviation is assumed to be 6 minutes. The company pays a bonus to the workers for every car produced in 48 minutes or less. Assuming that the production time is normally distributed, answer the following questions. Let X = production time of a randomly selected car. Round all probabilities to four decimal places and times to two decimal places. a)...
A car manufacturer has determined it takes an average time of 51 minutes to produce a...
A car manufacturer has determined it takes an average time of 51 minutes to produce a car. The population standard deviation is assumed to be 7 minutes. The company pays a bonus to the workers for every car produced in 43 minutes or less. Assuming that the production time is normally distributed, answer the following questions. Let X = production time of a randomly selected car. (Round probabilities to four decimals and times to two decimals.) a) What is the...
1. An automobile manufacturer has determined that 33% of all gas tanks that were installed on...
1. An automobile manufacturer has determined that 33% of all gas tanks that were installed on its 2015 compact model are defective. If 16 of these cars are independently sampled, what is the probability that at least 6 of the sample need new gas tanks? 2. Use the Poisson Distribution Formula to find the indicated probability: Last winter, the number of potholes that appeared on a 9.0-mile stretch of a particular road followed a Poisson distribution with a mean of...
CASE STUDY: DATA WAREHOUSING AT VOLVO Every Volvo car has hundreds of microprocessors and sensors. Their...
CASE STUDY: DATA WAREHOUSING AT VOLVO Every Volvo car has hundreds of microprocessors and sensors. Their data is used in diagnosis and repair. It is also captured by Volvo, integrated with the company's CRM, dealership and product data stores, and stored for analysis. This enables Volvo to spot design and construction flaws early, enable proactive correction of faults, and see how its cars respond in accidents. Volvo sells about 400,000 cars per year. Each generates 100–150 kB of data per...
CASE STUDY: DATA WAREHOUSING AT VOLVO Every Volvo car has hundreds of microprocessors and sensors. Their...
CASE STUDY: DATA WAREHOUSING AT VOLVO Every Volvo car has hundreds of microprocessors and sensors. Their data is used in diagnosis and repair. It is also captured by Volvo, integrated with the company's CRM, dealership and product data stores, and stored for analysis. This enables Volvo to spot design and construction flaws early, enable proactive correction of faults, and see how its cars respond in accidents. Volvo sells about 400,000 cars per year. Each generates 100–150 kB of data per...
CASE STUDY: DATA WAREHOUSING AT VOLVO Every Volvo car has hundreds of microprocessors and sensors. Their...
CASE STUDY: DATA WAREHOUSING AT VOLVO Every Volvo car has hundreds of microprocessors and sensors. Their data is used in diagnosis and repair. It is also captured by Volvo, integrated with the company's CRM, dealership and product data stores, and stored for analysis. This enables Volvo to spot design and construction flaws early, enable proactive correction of faults, and see how its cars respond in accidents. Volvo sells about 400,000 cars per year. Each generates 100–150 kB of data per...
In the following problem, check that it is appropriate to use the normal approximation to the...
In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. Ocean fishing for billfish is very popular in the Cozumel region of Mexico. In the Cozumel region about 41% of strikes (while trolling) resulted in a catch. Suppose that on a given day a fleet of fishing boats got a total of 26 strikes. Find the following probabilities. (Round your answers to four...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT